Abstract
In this paper an axiomatic approach is used to construct accelerated life testing (ALT) models for Nonhomogeneous Poisson Processes (NHPPs). First, the models of random lifetime variables and Nonhomogeneous Poisson Processes used for modeling non-repairable and repairable systems are compared. Then, an axiomatic approach for the construction of ALT models for NHPPs is given. Particular models are considered that can be constructed by this method.
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References
Arbutiski T (1985) A Family of Multiplicative Survival Models Incorporating a Long Term Survivorship Parameter c as a Function of Covariates. Commun Statist—Theor Meth 14: 1627–1642.
Ascher H, H Feingold (1984) Repairable Systems Reliability: Modelling, Inference, Misconceptions and their Causes, Marcel Dekker.
Bain L J (1978) Statistical Analysis of Reliability and Life Testing Models. Marcel Dekker, New York.
Bain L J, M Engelhardt (1980) Inferences on the Parameters and Current System Reliability for a Time Truncated Weibull Process. Technometrics 22: 421–426.
Bhattacharya G K, Z Soejoeti (1989) A Tampered Failure Rate Model for Step Stress Aaccelerated Life Test. Commun Statist-Theor Meth 18: 1627–1643.
Brown M, F Proschan (1983) Imperfect Repair. J Applied Probability 20: 581–589.
Cox D R, D V Hinkley (1974) Theoretical Statistics. Chapmann and Hall, London.
Engelhardt M, L J Bain (1986) On the Mean Time between Failures for Repairable Systems. IEEE Trans Reliab R-35: 419–423.
Finkelstein J M (1976) Confidence Bounds on the Parameters of the Weibull Process, Technometrics 18: 15–117.
Guida M, M Giorgio (1995) Reliability of Accerelated Life-Test Data from a Repairable System. IEEE Trans Rel R-44: 337–345.
Härtler G, H Schäbe (1991) Algorithms for Parameter Estimation of Nonhomogeneous Poisson Processes. Comp Stat Quart 2: 163–179.
Lawless F (1987) Regression Method for Poisson Process Data. JASA 82: 808–815.
Schäbe H, Viertl R (1995) An Axiomatic Approach to Models of Accelerated Life Testing. Eng. Fract Mech 50: 203–217.
Shaked M, W J Zimmer, C A Ball (1979) A Nonparametric Approach to Accelerated Life Testing. J Amer Statist Assoc 74: 694–699.
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Schäbe, H. Accelerated life testing models for nonhomogeneous Poisson processes. Statistical Papers 39, 291–312 (1998). https://doi.org/10.1007/BF02929705
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DOI: https://doi.org/10.1007/BF02929705